Amy Nott

Amalie Emmy Noether (German: Amalie Emmy Noether, March 23, 1882 - April 14, 1935), a German mathematician, was a prominent figure in abstract algebra and theoretical physics. Many well-known scholars have hailed Noether as the most outstanding female mathematician in history; the fields of mathematics she developed include rings, fields, and algebra over fields; in physics, the Noether theorem she proved revealed the close relationship between symmetry and conservation laws. Noether was born into a Jewish family in the town of Erlangen in Franconia, Germany. His father was the mathematician Max Noether. Noether originally prepared to be a French and English teacher, but ultimately chose to study mathematics at the University of Erlangen-Nuremberg, where her father taught; she completed her doctoral thesis in 1907 under the supervision of Paul Goldin, and then worked without pay for seven years at the Erlangen Institute of Mathematics, at a time when women were generally not allowed to hold teaching positions. In 1915, David Hilbert and Felix Klein invited her to serve in the mathematics department of the world-leading University of Göttingen. However, she was opposed by the professor of the philosophy department, so Noether taught in Hilbert's name for four years. In 1919, Nott finally obtained the charter of teaching qualifications and the title of lecturer. Noether was an important figure in the mathematics department of the University of Göttingen. In 1924, the Dutch mathematician Barthel Lundt van der Walden joined Noether's research team. Her research results became the basis for the second volume of van der Walden's 1931 textbook "Modern Algebra" and had a profound influence. In 1932, Noether addressed the International Congress of Mathematicians in Zurich, Switzerland, and became famous worldwide for her achievements in algebra. The following year, the German Nazi government banned Jews from holding university faculty positions. Knott immigrated to the United States and became a professor at Bryn Mawr College in Pennsylvania. In 1935, she underwent surgery for an ovarian cyst and died four days later at the age of 53. Noether's mathematical research career can be divided into three periods. During the first period from 1908 to 1919, she made significant contributions to the field of algebraic invariants and fields. In terms of differential invariants in the calculus of variations, the Noether's theorem she proved became one of the most important mathematical theorems in the development of modern physics. During the second period from 1920 to 1926, she carried out work that would revolutionize abstract algebra. In her paper "The Ideal Theory of Rings" published in 1921, she developed the ideal theory of commutative rings into a widely used tool. She cleverly used the chain-raising conditions,